Bags X and Y each contain counters. Bag X
30 counters
Each counter is green, white or yellow
Bag Y
5 counters
3 green and 2 red

P(green counter from X) = P(red counter from Y)
Work out the number of green counters in X.

Damon makes 20 cups of lemonade by mixing lemon juice and water. the ratio of lemon juice to water is shown in the tape diagram. lemon juice\text{lemon juice} lemon juice water\text{water} water how much lemon juice did damon use in the lemonade? cups

Prove that 16^4-2^13-4^5 is divisible by 11.

Which statement explains how you could use coordinate geometry to prove the opposite sides of a quadrilateral are congruent? a. use the slope formula to prove the slopes of the opposite sides are the same. b. use the slope formula to prove the slopes of the opposite sides are opposite reciprocals. c. use the distance formula to prove the lengths of the opposite sides are the same. d. use the distance formula to prove the midpoints of the opposite sides are the same.